| D算子性质的进一步研究及应用 |
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| 引用本文： | 林增,杨忠鹏. D算子性质的进一步研究及应用[J]. 贵州大学学报(自然科学版), 2014, 0(1): 4-6,14 |
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| 作者姓名： | 林增 杨忠鹏 |
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| 作者单位： | [1] 贵州大学理学院,贵州贵阳550025 [2] 莆田学院数学学院,福建莆田351100 |
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| 基金项目： | 国家自然科学基金项目资助（11261011） |
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| 摘 要： | 本文将D算子的定义和性质推广到一般数域上,得到了D算子在最大公因式、矩阵多项式的秩等式以及多项式的可约性等方面的性质,并将已有文献中对多项式不可约的判别法进行推广,丰富了对多项式不可约的判别方法。
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| 关 键 词： | 多项式 不可约 D算子 判别法 |
Further Research and Application of the Properties of D Operator |
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| LIN Zeng,YANG Zhong-peng. Further Research and Application of the Properties of D Operator[J]. Journal of Guizhou University(Natural Science), 2014, 0(1): 4-6,14 |
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| Authors: | LIN Zeng YANG Zhong-peng |
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| Affiliation: | 1. College of Science, Guizhou University, Guiyang 550025, China; 2. School of Mathematics, Putian University, Putian 351100, China) |
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| Abstract: | This paper extends the definition and characters of D operator to general number field, and obtain the characters of D operator in the greatest common factor, the rank equalities of matrix polynomial and the reduc ibility of polynomial, and generalize the discriminances of polynomial irreducibility in existing literature, enric hing the discriminances to polynomial irreducibility. |
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| Keywords: | polynomial irreducibility D operator discriminance |
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